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OpenStudy (anonymous):
Simplify.
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OpenStudy (anonymous):
\[\frac{ \sqrt[3]{7} }{\sqrt[5]{7}}\]
OpenStudy (anonymous):
OpenStudy (solomonzelman):
\(\Large\color{black}{ \sqrt[\color{blue}{{\huge c}}]{a^{~\color{red}{{\huge b}}}} ~~~~\Rightarrow~~~~ a^{(\color{red}{{\huge b}}/\color{blue}{{\huge c}})}}\)
OpenStudy (anonymous):
and b is an understood 1 right?
OpenStudy (solomonzelman):
no
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OpenStudy (solomonzelman):
please do apply the aforementioned rule for me on top and bottom. and tell me what you get after doing this.
OpenStudy (anonymous):
\[\frac{ 7\frac{ 1 }{ 3 } }{ 7 \frac{ 1 }{ 5 } }\] ?
OpenStudy (solomonzelman):
yes.
OpenStudy (solomonzelman):
now apply the: \(\large\color{black}{ \frac{\LARGE a^{\color{red}{b}}}{\LARGE a^{\color{blue}{c}}}=a^{\LARGE \color{red}{b}-\color{blue}{c}} }\)
OpenStudy (anonymous):
\[7^{3-5}\]
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OpenStudy (solomonzelman):
not exactly, your power on the top is 1/3, and the power on the bottom is 1/5.
OpenStudy (solomonzelman):
you can draw it if you want to, I mean if latex is an onus
OpenStudy (anonymous):
I dont know where I went wrong
OpenStudy (anonymous):
would I be subtracting the fractions?
OpenStudy (solomonzelman):
yes, \(\large\color{black}{ 7^{^\color{blue}{{\frac{\LARGE 1 }{\LARGE 3}-\color{red}{{\frac{\LARGE 1 }{\LARGE 5}}}}}} }\)
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OpenStudy (anonymous):
\[\frac{ 2 }{ 15 }\]
OpenStudy (solomonzelman):
yes 7^(2/15)
OpenStudy (anonymous):
oh ok thanks!
OpenStudy (solomonzelman):
yw
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